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The Temperature and Relative Humidity in a Room Are 300 K and 20% Respectively. the Volume of the Room is 50 M3. the Saturation Vapour Pressure at 300 K 3.3 Kpa. Calculate the Mass

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प्रश्न

The temperature and relative humidity in a room are 300 K and 20% respectively. The volume of the room is 50 m3. The saturation vapour pressure at 300 K 3.3 kPa. Calculate the mass of the water vapour present in the room.

Use R = 8.3 J K-1 mol-1

योग
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उत्तर

Here, 

T = 300K

SVP = 3300 Pa at 300K 

RH = 20%

⇒ `(P)/(SVP) = 0.2`

⇒ `P = 0.2 xx SVP = 0.2 xx 3300 = 660`

V = 50 `"m"^3`

M = 18 g

Now , 

PV = nRT

⇒ `PV = m/MRT`

⇒ `660 xx 50 = m/18 xx 8.3 xx 300`

⇒ m = 238.55 g≈238 g

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Kinetic Theory of Gases - Concept of Pressure
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अध्याय 24: Kinetic Theory of Gases - Exercises [पृष्ठ ३७]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 24 Kinetic Theory of Gases
Exercises | Q 60 | पृष्ठ ३७

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